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Finding the Fourth Proportional to 51,897.78, 77,833.71 and 16,847.46

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Solution

The fourth proportional to 51,897.78, 77,833.71 and 16,847.46 is: 25,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,897.78 : 77,833.71 = 16,847.46 : x
  2. Step 2: Convert to fraction form
    51,897.78/77,833.71 = 16,847.46/x
  3. Step 3: Cross multiply
    51,897.78x = 77,833.71 × 16,847.46
  4. Step 4: Simplify right side
    51,897.78x = 1,311,300,315.88
  5. Step 5: Solve for x
    x = 1,311,300,315.88/51,897.78
  6. Step 6: Final answer
    x = 25,266.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.